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Simplifying
(5x + -8)(5x + 8) = 36
Reorder the terms:
(-8 + 5x)(5x + 8) = 36
Reorder the terms:
(-8 + 5x)(8 + 5x) = 36
Multiply (-8 + 5x) * (8 + 5x)
(-8(8 + 5x) + 5x * (8 + 5x)) = 36
((8 * -8 + 5x * -8) + 5x * (8 + 5x)) = 36
((-64 + -40x) + 5x * (8 + 5x)) = 36
(-64 + -40x + (8 * 5x + 5x * 5x)) = 36
(-64 + -40x + (40x + 25x2)) = 36
Combine like terms: -40x + 40x = 0
(-64 + 0 + 25x2) = 36
(-64 + 25x2) = 36
Solving
-64 + 25x2 = 36
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '64' to each side of the equation.
-64 + 64 + 25x2 = 36 + 64
Combine like terms: -64 + 64 = 0
0 + 25x2 = 36 + 64
25x2 = 36 + 64
Combine like terms: 36 + 64 = 100
25x2 = 100
Divide each side by '25'.
x2 = 4
Simplifying
x2 = 4
Take the square root of each side:
x = {-2, 2}
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